Statistical Analysis of Grain Structures Formed by Solid-State Diffusion at Annealing

Abstract

Grain structures of Nb3Sn layers, formed by solid-state diffusion, have been analyzed using statistical methods. To determine parameters of grain structure from grain size distributions, a statistical model with combination of lognormal and standard distributions was used. Histograms of grain size distributions in Nb3Sn layers, formed by solid-state diffusion in different composites, appeared to have only one group of crystallites after various regimes of heat treatment. It has been established that there is strong correlation between average grain sizes and the standard deviations, and this statement is also fulfilled at the grain structure evolution under additional annealing.